Search a number
-
+
12364616 = 23112341149
BaseRepresentation
bin101111001010…
…101101001000
3212021012001202
4233022231020
511131131431
61121003332
7210045305
oct57125510
925235052
1012364616
116a857a0
124183548
13273bc54
1418dc0ac
1511438cb
hexbcab48

12364616 has 64 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 5209600.

The previous prime is 12364613. The next prime is 12364621. The reversal of 12364616 is 61646321.

It is a happy number.

12364616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12364613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82910 + ... + 83058.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 212364616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12364616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

12364616 is an abundant number, since it is smaller than the sum of its proper divisors (14851384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12364616 is a wasteful number, since it uses less digits than its factorization.

12364616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 12364616 is about 3516.3355926305. The cubic root of 12364616 is about 231.2385359790.

The spelling of 12364616 in words is "twelve million, three hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 149 164 184 253 298 328 451 506 596 902 943 1012 1192 1639 1804 1886 2024 3278 3427 3608 3772 6109 6556 6854 7544 10373 12218 13112 13708 20746 24436 27416 37697 41492 48872 67199 75394 82984 134398 140507 150788 268796 281014 301576 537592 562028 1124056 1545577 3091154 6182308 12364616